Welcome to our Forum. thanks for your question. before I address your specific questions, et me state that as a 31 YO male who has had 5 sexual partners and multiple exposures to all or most of them, it would be most unusual if you had not already been infected with HPV, including the so-called high risk HPs which would include HPV16 or 18. You have also likely cleared those infections. Finally let me commend both your ex for her disclosure and for your own level-headed acceptance of her disclose. I will now address your specific questions. I think you will find that I do agree with your doctor.
-Is there any information I should get from my ex-partner regarding her infection (if she ever cleared the virus, timings, etc)?
No, nothing about her prior infections or treatment for dysplasia would influence you or your future partners. I should also point out that it is more likely than not that your prior partners also are likely to have had HPV infections as well and that you may well have been infected before you started going out with her. Well over 60% of adults have HPV by the time they have been sexually active for more than a year.
-Should I disclose this information to any future partners?
No need for disclosure. While disclosure is always a desirable way to go, there remains a lot of mis-understanding about the infection and its implications for future health. Thus, in your judgment, if you feel comfortable and your read on your partner is that they will be accepting and not troubled then that is fine but there is no health measure that I would recommend related to your past history or consequence from non-disclosure.
-Is there anything else I should be concerned about?
-Am I likely a carrier (within statistics) or anyway to know?
Please see above. You have likely been infected in the past (multiple times). Like most people you have also likely cleared the infection and at your age there is little risk for future infection. (Infection rates and carriage of HPV tend to decline with age)
I hope these replies are helpful to you. thanks for your question. EWH